Apsychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. in the experiment, 300 people were presented with a set of five pictures arranged in random order. each person was asked to choose the most appealing picture. of the first 150 participants, 36 chose the first picture in the set. among the remaining 150 participants, p people chose the first picture in the set. if more than 20%of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?

a. p is greater than, 0.20 times, open parenthesis, 300 minus 36, close parenthesis, where p is less than or equal to 150
b. p is greater than, 0.20 times, open parenthesis, 300 plus 36, close parenthesis, where p is less than or equal to 150
c. p minus 36 is greater than, 0.20 times 300, where p is less than or equal to 150
d. p plus 36 is greater than, 0.20 times 300, where pis less than or equal to 150

Option D.

Step-by-step explanation:

First, let's do a little review of this excersice. Of the first 150 participants, 36 chose the first picture, and of the other 150 participants, p chose the first picture in the set.

Hence, the proportion of the participants who chose the first picture in the set is 36 300 p. Since more than 20% of all the participants chose the first picture, it follows that 36 0.20 300 !p . This inequality can be rewritten as p + 36 > 0.20(300). Since p is a number of people among the remaining 150 participants, p ≤ 150.  

Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation: